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9. If an isosceles triangle has …

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9. If an isosceles triangle has perimeter 40 cm and each of equal sides is 14 cm. Find the area of triangle.

Posted by Arun Kushwah 5 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 1 month ago

Perimeter of isosceles triangle=30cm

Length of equal sides=12cm

Let third side of triangle=xcm

According to problem,

x+12+12=30

x+24=30

x=30−24

x=6

∴ Third side of triangle=6cm

Using Heron's formula

Area of triangle= √s(s−a)(s−b)(s−c) sq. units

where s= a+b+c/2

s= 30/2 =15

Area of triangle= √15(15−12)(15−12)(15−6) cm²

= √15×3×3×9 cm²

=3×3× √15cm²

=9√15cm²

∴ Area of triangle=9√15 cm

1Thank You

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